J4 ›› 2009, Vol. 20 ›› Issue (19): 0-2274.

• 机械科学 •    

去趋势波动分析在齿轮故障诊断中的应用研究

李力1;彭中笑2;彭书志2   

  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2009-10-10 发布日期:2009-10-10

Detrended Fluctuation Analysis for Gear Fault Diagnosis

Li Li1;Peng Zhongxiao2;Peng Shuzhi2   

  • Received:1900-01-01 Revised:1900-01-01 Online:2009-10-10 Published:2009-10-10

摘要:

探讨了一种检测非平稳信号中长程相关信息的方法——利用去趋势波动分析(detrended fluctuation analysis,DFA)方法来诊断机械故障,着重研究DFA的尺度范围选择、趋势拟合阶数选择等关键问题,提取尺度指数作为诊断的特征参数,应用于齿轮的正常、剥落、断齿、磨损、裂纹等五种状态诊断,正确率达96%以上。通过与常用的统计指标——峭度的诊断结果相比较,证明DFA是一种有效的故障诊断方法。

关键词: 去趋势波动分析;尺度指数;齿轮;故障诊断

Abstract:

The paper presented a method of detecting long-range correlation in a signal——detrended fluctuation analysis (DFA) and applied it to diagnose gear faults. Two key problems, i.e. scaling range and polynomial order of fitted trend, were discussed. Scaling exponent was extracted to be as a detector for diagnosing five types of gear faults, their were normal, spalling, tooth broken, wearing and cracking. The correct diagnosis ratio is large than 96%. Further, compared with the kurtosis detector, a traditional statistic parameter, the results demonstrate DFA is an effective method in machinery fault diagnosis.

Key words: detrended fluctuation analysis, scaling exponent, gear, fault diagnosis

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